Greg just purchased a house for $450,000. his annual homeowners insurance premium is $0.42 per $100 of value. if his annual premium is divided into equal monthly payments, what will greg have to pay on a monthly basis to keep his home insured? a. $1,890.00 b. $157.50 c. $1,575.00 d. $131.25

Choice b

First find the annual insurance premium.

They pay $0.42 per $100, so find how many hundreds are in $450000 and multiply by 0.42

(450000/100)(0.42) = 1890

If this is how much paid per year, divide this by 12 to get the monthly payment.

1890/12 = 157.50

The answer is therefore b

a

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)